Acoustic characterization of Hofstadter butterfly with resonant scatterers

Details Acoustic characterization of Hofstadter butterfly with resonant scatterers Acoustic characterization of Hofstadter butterfly with resonant scatterers

2009-07-15

arxiv.org/abs/0907.2517v1

Europhysics Letters (EPL) 59, 1 (2002) 34-40

Physics

Classical Physics

Scientific paper

We are interested in the experimental characterization of the Hofstadter butterfly by means of acoustical waves. The transmission of an acoustic pulse through an array of 60 variable and resonant scatterers periodically distribued along a waveguide is studied. An arbitrary scattering arrangement is realized by using the variable length of each resonator cavity. For a periodic modulation, the structures of forbidden bands of the transmission reproduce the Hofstadter butterfly. We compare experimental, analytical, and computational realizations of the Hofstadter butterfly and we show the influence of the resonances of the scatterers on the structure of the butterfly.

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